CBSE Class 10 Answered
g.b
Asked by PRAMOD | 07 Dec, 2013, 05:53: PM
Expert Answer
A given sequence of numbers a 1, a 2, a 3, ... , an is an A.P. if a n – a n –1 = Constant. This constant is called the common difference of A.P.
Given, n th term of an A.P., a n = a + nb
Replacing n by n – 1, we get a n–1 = a + (n – 1) b
Now, a n – a n –1 = a + nb - a - (n-1)b = b, which is a constant
Thus, the sequence is an AP.
And, Common difference = b
Answered by | 07 Dec, 2013, 07:29: PM
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